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Finding the Fourth Proportional to 1,138.06, 1,570.78 and 696.20

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Solution

The fourth proportional to 1,138.06, 1,570.78 and 696.20 is: 960.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,138.06 : 1,570.78 = 696.20 : x
  2. Step 2: Convert to fraction form
    1,138.06/1,570.78 = 696.20/x
  3. Step 3: Cross multiply
    1,138.06x = 1,570.78 × 696.20
  4. Step 4: Simplify right side
    1,138.06x = 1,093,577.04
  5. Step 5: Solve for x
    x = 1,093,577.04/1,138.06
  6. Step 6: Final answer
    x = 960.91

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.